%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:20:16 AM UTC 2026
% Result : Unsatisfiable 2.77s 1.35s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 6 unt; 2 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 28 ~; 36 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f111,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Wr_error(plus(X0,n1))
| p_Wr_error(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
fof(f112,axiom,
! [X0] :
( p_Wr_error(plus(X0,n1))
| p_Wr(X0)
| p_Reset(X0)
| ~ p_Wr_error(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
fof(f113,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
( ~ p_Wr_error(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
( p_Wr_error(t_139)
| p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f118,definition,
( spl0_1
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f119,plain,
( p_Wr_error(plus(t_139,n1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_2
<=> p_Wr_error(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f122,plain,
( p_Wr_error(t_139)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f116,f121,f118]) ).
fof(f124,plain,
( ~ p_Wr_error(plus(t_139,n1))
| spl0_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f125,plain,
( ~ p_Wr_error(t_139)
| spl0_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f126,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f115,f121,f118]) ).
fof(f211,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| p_Wr(X0)
| p_Wr_error(X0) ),
inference(forward_subsumption_resolution,[],[f111,f39]) ).
fof(f213,plain,
( p_Wr(t_139)
| p_Reset(t_139)
| ~ p_Wr_error(t_139)
| spl0_1 ),
inference(resolution,[],[f112,f124]) ).
fof(f220,plain,
( p_Reset(t_139)
| ~ p_Wr_error(t_139)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f213,f113]) ).
fof(f222,plain,
( ~ p_Wr_error(t_139)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f220,f114]) ).
fof(f228,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f222,f122]) ).
fof(f229,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f230,plain,
( p_Wr(t_139)
| p_Wr_error(t_139)
| ~ spl0_1 ),
inference(resolution,[],[f119,f211]) ).
fof(f233,plain,
( p_Wr_error(t_139)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f230,f113]) ).
fof(f234,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f233,f125]) ).
fof(f235,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f234]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f123]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f126]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f229]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f235]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s1,s7]) ).
cnf(s10,plain,
spl0_2,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s10,s9]) ).
fof(f236,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:59:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/1.35 % (3203364)Input is clausal, will run a generic CNF schedule.
% 2.77/1.35 % (3203373)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1112804321:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.35 % (3203373)First to succeed.
% 2.77/1.35 % (3203373)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3203364"
% 2.77/1.35 % (3203370)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=564151164:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.35 % (3203369)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1005996213:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.35 % (3203375)dis-21_1_sil=8000:lcm=predicate:random_seed=3749756710:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.77/1.35 % (3203372)lrs+10_1_sil=8000:sp=occurrence:random_seed=3471011286:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.35 % (3203371)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4269734046:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.35 % (3203374)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4272274577:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.35 % (3203372)Also succeeded, but the first one will report.
% 2.77/1.35 % (3203375)Also succeeded, but the first one will report.
% 2.77/1.35 % (3203374)Also succeeded, but the first one will report.
% 2.77/1.35 % (3203373)Refutation found. Thanks to Tanya!
% 2.77/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.35 % (3203373)------------------------------
% 2.77/1.35 % (3203373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.35 % (3203373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.35 % (3203373)CaDiCaL version: 2.1.3
% 2.77/1.35 % (3203373)Termination reason: Refutation
% 2.77/1.35 % (3203373)Time elapsed: 0.004 s
% 2.77/1.35 % (3203373)Peak memory usage: 89 MB
% 2.77/1.35 % (3203373)Instructions burned: 6 (million)
% 2.77/1.35 % (3203373)------------------------------
% 2.77/1.35 % (3203373)------------------------------
% 2.77/1.35 % (3203364)Success in time 0.31 s
% 2.77/1.35 % Vampire exiting
%------------------------------------------------------------------------------